Abstract
The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge, dimension of a boundary changing operator), along with the solution of an electrostatic problem, determine the Casimir force, rendering the theory practically applicable to any shape. The attraction between any two mirror symmetric objects follows directly from our general result. The possibility of purely shape induced reversal of the force, as well as occurrence of stable equilibrium is demonstrated for certain conformally invariant models, including the tricritical Ising model.
Highlights
The MIT Faculty has made this article openly available
Theoretical results for Fluctuation-induced forces (FIF) in various critical systems [7] have shown that sign changes of the force can be achieved by varying boundary fields [8,9]
A notable advantage is that 2D systems at criticality can be described by conformal field theories (CFT) [25,26]: Casimir forces in a strip are related to the central charge of the CFT [27,28,29], with appropriate modification for boundaries
Summary
The MIT Faculty has made this article openly available. Please share how this access benefits you. The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems.
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